A (bar-and-joint) framework is a set of points in normed space with fixed distance constraints between them. Determining whether locally rigid – i.e. every other suitably close the same an isometric copy NP-hard when has dimension 2 or greater. We can reduce complexity by instead considering derivatives constraints, which linearises problem. By applying methods from non-smooth analysis, we shal...

This study aimed to characterize the amplitude and speed of isolated jaw movements and chewing using electrognathography in a volunteer and to compare these data with those of two other Parkinson Disease (PD) subjects, differentiated by the motor characteristics. Method: The 3 participants were divided into three categories: one with 1 non-PD volunteer, a second category with 1 volunteer charac...

Nb, Ta and Zr are the favorable non-toxic alloying elements for titanium alloys for biomedical applications. Low rigidity titanium alloys composed of non-toxic elements are getting much attention. The advantage of low rigidity titanium alloy for the healing of bone fracture and the remodeling of bone is successfully proved by fracture model made in tibia of rabbit. Ni-free super elastic and sha...

We prove the rigidity of entire graphic Lagrangian self-shrinkers in $$({\mathbb {R}}^{2n}, g_\tau )$$ , where $$g_\tau =\sin \tau \,\delta _0+\cos \,g_0$$ is a linear combination Euclidean metric $$\delta _0$$ and pseudo $$g_0=2\sum _i dx_idy_i$$ with $$\tau \in (0,\frac{\pi }{2})$$ complementing previous results for =0$$ =\frac{\pi }{2}$$ ; actually we obtain Bernstein theorems three correspo...

UNLABELLED This study aimed to characterize the amplitude and speed of isolated jaw movements and chewing using electrognathography in a volunteer and to compare these data with those of two other Parkinson Disease (PD) subjects, differentiated by the motor characteristics. METHOD The 3 participants were divided into three categories: one with 1 non-PD volunteer, a second category with 1 volu...

Rigidity of formations in multi-robot systems is important for formation control, localization, and sensor fusion. This work proposes a rigidity maintenance gradient controller for a multi-agent robot team. To develop such a controller, we first provide an alternative characterization of the rigidity matrix and use that to introduce the novel concept of the rigidity eigenvalue. We provide a nec...

In this paper, we present an efficient approach for parameterizing a genus-zero triangular mesh onto the sphere with an optimal radius in an as-rigid-as-possible (ARAP) manner, which is an extension of planar ARAP parametrization approach to spherical domain. We analyze the smooth and discrete ARAP energy and formulate our spherical parametrization energy from the discrete ARAP energy. The solu...